205203042 has 48 divisors (see below), whose sum is σ = 487075680. Its totient is φ = 61920000.

The previous prime is 205203041. The next prime is 205203049. The reversal of 205203042 is 240302502.

205203042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (205203041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47634 + ... + 51762.

It is an arithmetic number, because the mean of its divisors is an integer number (10147410).

Almost surely, 2^205203042 is an apocalyptic number.

205203042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205203042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243537840).

205203042 is an abundant number, since it is smaller than the sum of its proper divisors (281872638).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205203042 is a wasteful number, since it uses less digits than its factorization.

205203042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4399 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 205203042 is about 14324.9098426482. The cubic root of 205203042 is about 589.8314581304.

Adding to 205203042 its reverse (240302502), we get a palindrome (445505544).

The spelling of 205203042 in words is "two hundred five million, two hundred three thousand, forty-two".